In addition to his amusing “proof” of the existence of God, Kurt Gödel also argued for belief in an afterlife in letters written to his mother. But I don’t share the view, expressed by Alexander T Englert in this Aeon Essay, that “because the correspondence was private, he did not feel the need to hide his true views, which he might have done in more formal academic settings and among his colleagues at the IAS”. On the contrary I suspect that he knew well that the arguments were not valid and just used them as a comfort for his mother to alleviate her distress – probably not at death itself but at the fact that they lived far apart and he was unwilling to travel to see her.
Source: Kurt Gödel, his mother and the argument for life after death | Aeon Essays